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GEOMETRY: Chapter 9

GEOMETRY: Chapter 9. 9.3: Converse of the Pythagorean Theorem. Theorem 9.5 Converse of the Pythagorean Theorem If the square of the length of the longest side of a triangle is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle.

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GEOMETRY: Chapter 9

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  1. GEOMETRY: Chapter 9 9.3: Converse of the Pythagorean Theorem

  2. Theorem 9.5Converse of the Pythagorean Theorem If the square of the length of the longest side of a triangle is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle. If then triangle ABC is a right triangle. Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 433.

  3. Ex. 1: Tell whether the given triangle is a right triangle. A) No; 521≠529 Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 442.

  4. Ex. 1: Tell whether the given triangle is a right triangle. B) Yes; 164=164 Images taken from: Geometry. McDougal Littell: Boston, 2007. P. 442.

  5. Theorem 9.6 If the square of the length of the longest side of a triangle is less than the sum of the squares of the lengths of the other two sides, then the triangle is an acute triangle. Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 442.

  6. Theorem 9.7 If the square of the length of the longest side of a triangle is greater than the sum of the squares of the lengths of the other two sides, then the triangle is an obtuse triangle. Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 442.

  7. Ex. 2: Can segments with lengths of 11.2 inches, 6.5 inches, and 7.1 inches form a triangle? If so, would the triangle be acute, right, or obtuse? Answer: Yes, obtuse

  8. Ex. 3: Can segments with lengths of 4.3 feet, 5.2 feet, and 6.1 feet form a triangle? If so, would the triangle be acute, right, or obtuse? Answer: Yes; acute

  9. Methods for Classifying a Triangle by Angles Using its Side Lengths

  10. 9.3, p. 545, #1-27 odds (14 questions)

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